Berezin Transform for Solvable Groups

被引：0
|
作者：
Jonathan Arazy
Harald Upmeier
机构：
[1] University of Haifa,Department of Mathematics
[2] Universität Marburg,Fachbereich Mathematik
来源：
Acta Applicandae Mathematica | 2004年 / 81卷
关键词：
Berezin transform; solvable groups; homogeneous Siegel domains; symmetric cones; Euclidean Jordan algebras; reproducing kernels; correspondence principle; summability kernels; hypergeometric functions;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We study the Berezin transform in the context of solvable groups AN (acting on homogeneous cones and Siegel domains) and determine its spectral decomposition, using an explicit integral kernel representation for the associated ‘eigen-operators’ in terms of multivariable hypergeometric functions.
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页码：5 / 28
页数：23
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